Air within a piston–cylinder assembly, initially at 30 lbf/in.2, 510°R, and a volume of 6 ft3, is compressed isentropically to a final volume of 1.2 ft3. Assuming the ideal gas model with k = 1.4 for the air, determine the (a) mass, in lb, (b) final pressure, in lbf/in.2, (c) final temperature, in °R, and (d) work, in Btu.

An object moves from position +34m to the position -15m in 15 seconds. what is the total displacement? what is the total velocity?

Carbon is allowed to diffuse through a steel plate 15 mm thick. the concentrations of carbon at the two faces are 0.65 and 0.30 kg c/m^3 fe, which are maintained constant. if the preexponential and activation energy are 6.2 x 10-7 m2 /s and 80,000 j/mol, respectively, compute the temperature at which the diffusion flux is 1.43 x 10^-9 kg/m^2 -s.

Two kilograms of air within a piston–cylinder assembly executes a carnot power cycle with maximum and minimum temperatures of 800 k and 300 k, respectively. the heat transfer to the air during the isothermal expansion is 60 kj. at the end of the isothermal expansion the volume is 0.4 m3. assume the ideal gas model for the air. determine the thermal efficiency, the volume at the beginning of the isothermal expansion, in m3, and the work during the adiabatic expansion, in kj.